The Droussent cubic is the triangle cubic with trilinear equation sum_cyclic(b^4 + c^4 - a^4 - b^2 c^2) a α(b^2 β^2 - c^2 γ^2) = 0. It passes through Kimberling centers X_n for n = 2, 4, 67, 69, 316, 524, 671, 858, and 2373.

triangle cubic